TOI-3714 b and TOI-3629 b: Two gas giants transiting M dwarfs confirmed with HPF and NEID

We confirm the planetary nature of two gas giants discovered by TESS to transit M dwarfs. TOI-3714 ($V=15.24,J=11.74$) is an M2 dwarf hosting a hot Jupiter ($M_p=0.70\pm 0.03{\mathrm{M}}_{\mathrm{J}}$ and $R_p=1.01\pm 0.03{\mathrm{R}}_{\mathrm{J}}$) on an orbital period of $2.154849\pm 0.000001$ days with a resolved white dwarf companion. TOI-3629 ($V=14.63,J=11.42$) is an M1 dwarf hosting a hot Jupiter ($M_p=0.26\pm 0.02{\mathrm{M}}_{\mathrm{J}}$ and $R_p=0.74\pm 0.02{\mathrm{R}}_{\mathrm{J}}$) on an orbital period of $3.936551_{-0.000006}^{+0.000005}$ days. We characterize each transiting companion using a combination of ground-based and space-based photometry, speckle imaging, and high-precision velocimetry from the Habitable-zone Planet Finder and the NEID spectrographs. With the discovery of these two systems, there are now nine M dwarfs known to host transiting hot Jupiters. Among this population, TOI-3714 b ($T_{eq}=750\pm 20$ K and $\mathrm{T}\mathrm{S}\mathrm{M}=98\pm 7$) and TOI-3629 b ($T_{eq}=690\pm 20$ K and $\mathrm{T}\mathrm{S}\mathrm{M}=80\pm 9$) are warm gas giants amenable to additional characterization with transmission spectroscopy to probe atmospheric chemistry and, for TOI-3714, obliquity measurements to probe formation scenarios.